Linear vs Exponential Growth

The difference between linear and exponential growth is that a linear line goes straight and a exponential curve in an angle on a graph. The difference if on a table for linear is that it goes at a constant rate. If it is a exponential an example is if it doubles every time it grows so it makes it curve up as it grows.

Scientific Notation

There is a huge difference between 3 to the 8th power and 3 times 10 to the 8th power because 3 to the 8th power is three times its self eight times which equals 6,561 and 3 times 10 to the 8th power equals 300,000,000. The 10 makes the number add as many zero’s to the end of the number whatever number it is for the exponent.

Simplifying Exponent Expressions Using The Product and Quotient Rules

In order to simplify exponent expressions such as 2 to the third power times 2 to the sixth power you can use two different rules product or quotient. With the product rule you can add the exponents and it will turn into 2 to the third plus sixth power which then equals 2 to the ninth power. If you use the quotient rule you have 2 to the third power over 2 to the sixth power which equals 2 to the sixth power minus to the third power which then equals 2 to the third power.

Negative Exponents

When there is a negative exponent it make the number to a decimal. So it doesn’t make it a negative. An example is if three to the third power is 27 then three to the negative third power would be 0.037.